What is the answer to 9.1=10log_{10}((4.8)/x) ?

The answer to 9.1=10log_{10}((4.8)/x) is x=(24)/(5*10^{0.91)}

Solve for x: 9.1=10log_{10}((4.8)/x)

The solution is x=(24)/(5*10^{0.91)}

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9.1 = 10 lo g_{10} (\frac{4.8}{x})

x = \frac{24}{5 \cdot 1 0 ^{0.91}}

Solution steps

9.1 = 10 lo g_{10} (\frac{4.8}{x})

Switch sides

10 lo g_{10} (\frac{4.8}{x}) = 9.1

Divide both sides by

10

lo g_{10} (\frac{4.8}{x}) = 0.91

Apply log rules

\frac{4.8}{x} = 1 0^{0.91}

Multiply both sides by

x

\frac{4.8}{x} x = 1 0^{0.91} x

Simplify

4.8 = 1 0^{0.91} x

Solve

4.8 = 1 0^{0.91} x : x = \frac{24}{5 \cdot 1 0 ^{0.91}}

x = \frac{24}{5 \cdot 1 0 ^{0.91}}

Verify Solutions:

x = \frac{24}{5 \cdot 1 0 ^{0.91}}

True

The solution is

x = \frac{24}{5 \cdot 1 0 ^{0.91}}

t, lo g_{5} (t) = u

- 3 lo g_{2} (3) = lo g_{2} (x)

ln (3 x - 16) = 7

lo g_{10} (x) = 875

3 - ln (x^{2} - 3 x + 1) = \frac{1}{10}

What is the answer to 9.1=10log_{10}((4.8)/x) ?
The answer to 9.1=10log_{10}((4.8)/x) is x=(24)/(5*10^{0.91)}
Solve for x: 9.1=10log_{10}((4.8)/x)
The solution is x=(24)/(5*10^{0.91)}